 | Herbert Spencer - 1873 - 670 σελίδες
...angle AB 0 is equal to the angle ACB — to the abstract inference : we say — therefore the angles at the base of an isosceles triangle are equal to each other. QED Be the cogency of every step in the demonstration what it may, the truth of the proposition at... | |
 | Euclides - 1874 - 342 σελίδες
...the one equal to two sides, &c. Which was to be demonstrated. PROPOSITION 5. — Theorem. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC... | |
 | L J V. Gerard - 1874 - 428 σελίδες
...of an equilateral triangle are equal to one another. 16. The altitudes of the vertices of the angles at the base of an isosceles triangle, are equal to each other. 17. The bisectrices of the angles at the base of an isosceles triangle, meet the other sides in two... | |
 | Education Department,London - 1876 - 1010 σελίδες
...terms—superficies, circle, oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base will be equal... | |
 | Henry Major - 1876 - 784 σελίδες
...the Norman conquest upon the English language. Write full notes of a lesson on Tea. 1 . The angles at the base of an isosceles triangle are equal to each other, and if the eqnal sides be produced, the angles on the other side of the base shall be eqnal. • ;... | |
 | Euclides - 1877 - 58 σελίδες
...[NOTE.— The following is Euclid's more complete statement and proof of this proposition.] The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC... | |
 | Nicholas Patrick Wiseman - 1878 - 568 σελίδες
...20, § 282) to seek it out in the field of geometry. He first selects the proposition : " The angles at the base of an isosceles triangle are equal to each other." He then observes, that in order to prove this, a concrete example is taken, and that when the equality... | |
 | University of Oxford - 1879 - 414 σελίδες
...gnomon, a sector of a circle, a polygon. When is a straight line said to be ' placed in a circle ' ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...superficies, circle, oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base will be equal... | |
 | William Stanley Jevons - 1879 - 364 σελίδες
...may be required to describe the notions or classes compared together. In the proposition "the angles at the base of an isosceles triangle are equal to each other," the first term requires nine words for its expression, and the second term, four words (equal to each... | |
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The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal. 
